Answer:
The length of the trip is 780 miles
Step-by-step explanation:
Given
[tex]Sleep = 15\%[/tex]
[tex]Distance\ Travelled = 663[/tex]
Required
Determine the length of the trip
If Connor slept for 15% of the trip, then Connor was awake for 85%
This is calculated as:
[tex]Sleep + Awake = 100\%[/tex]
[tex]15\% + Awake = 100\%[/tex]
[tex]Awake = 100\% - 15\%[/tex]
[tex]Awake = 85\%[/tex]
Represent the required distance with D.
So the expression for when she was awake is:
[tex]85\% * D = 663[/tex]
Make D the subject
[tex]D = \frac{663}{85\%}[/tex]
Convert % to decimal
[tex]D = \frac{663}{0.85}[/tex]
[tex]D = 780[/tex]
Hence, the length of the trip is 780 miles
